Question

what is the greatest common factor of 16 and 6?

Explanation:

Step1: List factors of 16

The factors of 16 are the numbers that divide 16 without leaving a remainder. So, \(1, 2, 4, 8, 16\) are the factors of 16.

Step2: List factors of 6

The factors of 6 are the numbers that divide 6 without leaving a remainder. So, \(1, 2, 3, 6\) are the factors of 6.

Step3: Identify common factors

The common factors of 16 and 6 are the numbers that appear in both lists. From the above, the common factors are \(1, 2\).

Step4: Find the greatest common factor

Among the common factors \(1\) and \(2\), the greatest one is \(2\).

Answer:

2